Number and Operations—Fractions

Develop understanding of fractions as numbers.

3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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Resource | Resource Type Grade Level | Rating |
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This web page contains four Flash applets that help students develop fraction concepts. In the three demonstrations, users can adjust the numerators and denominators of two fractions to compare them or to create two equivalent fractions, represented visually by either fraction bars or circles or by both. A game applet challenges the student to create a fraction equivalent to a given fraction and provides a check. The applets lend themselves well to classroom discussions with interactive white boards. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Java applet helps users explore equivalent fractions through partitioning circles and squares. The applet provides a random fraction and the user creates one or two equivalent representations of that fraction by partitioning and coloring a square (or circle). The applet also plots the fraction on a number line and points from the shape to the number line displaying its equivalent value after the fraction is built. Options include choice of circles or squares, one or two equivalent fractions, and a scoring feature allows users to keep track of the number correct. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 | |

This interactive Java applet helps users explore equivalent fractions through partitioning circles and squares. The applet provides a random fraction and the user creates one or two equivalent representations of that fraction by partitioning and coloring a square (or circle). The applet also plots the fraction on a number line and points from the shape to the number line displaying its equivalent value while the fraction is being built. Options include choice of circles or squares, one or two equivalent fractions, and a scoring feature allows users to keep track of the number correct. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 | |

This interactive Java applet presents an array of common fractions sometimes referred to as a wall. Fractions less than one with denominators from 2 through 16 are placed to scale horizontally. The learner then moves a mouse to highlight equivalent sets of fractions vertically. Links to related topics are included. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this interactive activity a user identifies two pairs of equivalent fractions for a given random fraction or one of the player's own and the user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. Instructions and exploration questions are given. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students build conceptual understanding of equivalent fractions by emphasizing how visual models represent equivalence. Students learn the value of multiplying a fraction with a value of one. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 | |

In this NCTM iOS app a user identifies equivalent fractions for a given random fraction or one of the player's own. The user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. This app is related to an Illuminations activity and an Android app that are cataloged separately. | Game, Interactive Media, Mobile App Grade Level: 3, 4, 5 | |

In this NCTM Android app a user identifies equivalent fractions for a given random fraction or one of the player's own. The user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. This app is related to an Illuminations activity and an iOS app that are cataloged separately. | Game, Interactive Media, Mobile App Grade Level: 3, 4, 5 | |

In this interactive game students are given a fraction to match to the equivalent fraction models that rotate around the screen. There are five levels of difficulty and each level has two modes, relaxed (ten problems, untimed) or timed(answer quickly and it increases your score). The goal is to get as many correct as possible. | Game, Interactive Media Grade Level: 3, 4, 5 | |

In this four-day lesson students use several models to explore equivalent fractions and to compare proper fractions with denominators of values up to 12. It incorporates the book "The Hershey's Milk Chocolate Bar Fractions Book" by Jerry Pallotta. The 30-page pdf includes lists of materials, teacher instructions, printable activity sheets, assessments, and a game. | Activity, Lesson Plans Grade Level: 3, 4, 5 |